• Outstanding Director of Graduate Studies Award

    Professor Konstantina Trivisa has been selected for the Outstanding Director of Graduate Studies (DGS) Award for 2018.  Directors of Graduate Studies are critical partners of the Graduate School in shaping graduate education and ensuring the success of graduate students.  The Outstanding Director of Graduate Studies Award recognizes exceptional contributions made Read More
  • Congratulations to Putnam Exam Participants

    Congratulations to our Putnam Exam participants. The University of Maryland Putnam Team was ranked 15th among the 575 competing institutions in the highly competitive Putnam mathematics exam on December 2, 2017. Congratulations to Aaron George, who ranked 39th and Erik Metz who ranked 81st, and to Jason Zou, Justin Hontz Read More
  • Girls Talk Math

    Girls Talk Math is a two-week summer day camp hosted by the Department of Mathematics at the University of Maryland. The camp will occur weekdays July 9-20, 2018 from 9:00 am - 4:00 pm. Rising-9th to rising-12th grade students who attend high school within driving distance of the University can apply. Read More
  • James Owings and Adam Kleppner

    The mathematics department mourns the recent passing of two of our Professors Emerti: Jim Owings and Adam Kleppner. James Claggett Owings, Jr. received his PhD in recursion theory at Cornell in 1966, under the direction of Gerald Sacks.  For many years, Jim was one of the leaders of the Maryland Read More
  • Upcoming Conferences

    We would like to draw your attention to several exciting conferences coming up in the Mathematics Department: February Fourier Talks - Thursday, February 15 - Friday, February 16, 2018 Geometry Week - Monday, March 12 - Friday, March 16, 2018 Spring Dynamics Conference - Wednesday, April 4 - Sunday, April 8, 2018 Read More
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Description

An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software package MATLAB. Credit will be granted for only one of the following: MATH 241 or MATH 340.

Prerequisites

MATH 141

Topics

(by chapter)

XI. Vectors, Lines and Planes.

Cartesian coordinates of space
Vectors
Lines
Planes
Dot and cross product

XII. Vector-valued Functions

Vector-valued functions
Tangents
Normals
Curvature

XIII. Partial Derivatives

Quadric surfaces
Partial derivatives
Chain rule
Directional derivatives
Gradients
Extreme values
Lagrange multipliers

XIV. Multiple Integrals

Double and triple integrals
Change of variable
Volume
Surface area
Moments and centers of gravity

XV. Calculus of Vector Fields

Line and surface integrals
Green's theorem
Stokes' theorem
Divergence theorem

  • William E. Kirwan Hall, home of the Mathematics Department

    William E. Kirwan Hall, home of the Mathematics Department

  • The Experimental Geometry Lab explores the structure of low dimensional space

    The Experimental Geometry Lab explores the structure of low dimensional space

  • Maryland mathematicians help to investigate the inner workings of E_8

    Maryland mathematicians help to investigate the inner workings of E_8

  • Hyperbolic Space Tiled with Dodecahedra

    Hyperbolic Space Tiled with Dodecahedra

  • Isotropoic Gaussian random field with Matern correlation

    Isotropoic Gaussian random field with Matern correlation

  • Part of the proof of the Peter-Weyl theorem

    Part of the proof of the Peter-Weyl theorem